Escape mechanisms of active species like self-propelled nano/micro-particles or living micro-organisms from entropic or energetic traps play pivotal
role in their migration through confined structures [1]}, [2]}, [3]}, [4]} or movement on substrates [4]}. These mechanisms help microorganisms to find strategies to explore the local environment in their natural habitat to sense stimuli. To prevent the spreading of natural micro-swimmers through porous media (like biological cellular structures or artificial high efficiency filter media), or controlling motions of active Brownian tracer in biomedical devices or artificial nano-devices, it is desirable to have better understanding on survival probability of particles inside the cavity as well as their escape kinetics. The escape kinetics of an active particle is considerably different from ordinary passive particles due to their time-correlated self-propulsion motion [2]}, [7]}, [8]}. Moreover, due to the additional
sources of energy, active particles are typical non-equilibrium systems exhibiting peculiar transport features [9]}, [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]} and collective properties [17]}, [18]}, [19]}, [20]}, [21]}, [22]}, [23]}, [24]}.
